1145634624 has 224 divisors, whose sum is σ = 3631996800. Its totient is φ = 352788480.

The previous prime is 1145634619. The next prime is 1145634643. The reversal of 1145634624 is 4264365411.

1145634624 is a `hidden beast` number, since 1 + 14 + 5 + 634 + 6 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1732854 + ... + 1733514.

Almost surely, 2^1145634624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815998400).

1145634624 is an abundant number, since it is smaller than the sum of its proper divisors (2486362176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1145634624 is a wasteful number, since it uses less digits than its factorization.

1145634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1145634624 is about 33847.2247606802. The cubic root of 1145634624 is about 1046.3622029947.

The spelling of 1145634624 in words is "one billion, one hundred forty-five million, six hundred thirty-four thousand, six hundred twenty-four".